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If f(x) = x^4 + 4, g(x) = x - 1 and h(x) = √x, then f(g(h(x))) =

User Gummmibear
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STEP -BY - STEP EXPLANATION

What to find?

f(g(h(x)))

Given:


\begin{gathered} f(x)=x^4+4 \\ g(x)=x-1 \\ h(x)=\sqrt[]{x} \end{gathered}

To solve the problem given, we will follow the steps below:

Step 1

Replace x by the value of h(x) in g(x).

That is;


\begin{gathered} g(x)=x-1 \\ \\ g(h(x))=\sqrt[]{x}-1 \end{gathered}

Step 2

Replace x in f(x) by g(h(x)).


\begin{gathered} f(x)=x^4+4 \\ \\ f(g(h(x)))=(\sqrt[]{x}-1)^4+4 \end{gathered}

Therefore, the solution is;


f(g(h(x)))=(\sqrt[]{x}-1)^4+4

User Abdullah Mallik
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